Answer: X = 4
Step-by-step explanation: To solve for k in this equation, we want to get k by itself on the left side of the equation.
Since k is being multiplied by 5, to get k by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.
On the left side, notice that the 5's cancel out, so we are simply left with z. On the right side, we have 20 divided by 5 which gives us 4.
Now we have X = 4.
Finally, remember to check your answer by substituting a 4 back into the original equation.
So we have 5 (4) = 20 which is a true statement.
This means that our answer, x = 4 is correct.
Step-by-step explanation:
<span>Triangle ADC is also a right triangle, with D the right angle, and AC the hypotenuse. </span>
<span>The triangles are similar (right triangles which share an angle (A), so... </span>
<span>AD/AC = AC/AB </span>
<span>5/6 = 6/AB </span>
<span>AB = 6*6/5 = 36/5 = 7.2 </span>
<span>The answer to the first question is "C" </span>
<span>CD can be found using the Pythagorean theorem... </span>
<span>AD^2 + CD^2 = AC^2 </span>
<span>25 + CD^2 = 36 </span>
<span>CD^2 = 11 </span>
<span>CD = sqrt(11) = 3.3 </span>
Answer:
a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed
Step-by-step explanation:
In Statistics, a p-value also known as the probability value is the probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed.
The p-values can be calculated by using spreadsheets, statistical software and p-value tables and is widely used in research fields such as economics, physics, sociology, accounting etc.
The p-value can be mathematically expressed as a function of the null hypothesis, H and the random variable, X.
